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Finding the Fourth Proportional to 9,114.36, 13,647.86 and 7,806.53

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Solution

The fourth proportional to 9,114.36, 13,647.86 and 7,806.53 is: 11,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.36 : 13,647.86 = 7,806.53 : x
  2. Step 2: Convert to fraction form
    9,114.36/13,647.86 = 7,806.53/x
  3. Step 3: Cross multiply
    9,114.36x = 13,647.86 × 7,806.53
  4. Step 4: Simplify right side
    9,114.36x = 106,542,428.53
  5. Step 5: Solve for x
    x = 106,542,428.53/9,114.36
  6. Step 6: Final answer
    x = 11,689.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.